Point Pattern Analysis on a Sphere

Thomas Joseph Lawrence

    Research output: ThesisMaster's Thesis

    405 Downloads (Pure)

    Abstract

    This thesis develops statistical methodology for analysing spatial patterns of points on a sphere. The main results include relevant theory, methods for estimating point process intensity and summary functions such as Ripley's K function, methods for plotting these estimates which have useful properties, and models on the sphere such as the analogue of the Neyman­-Scott cluster process. These methods are implemented in code in a software package, and which have been used to analyse the spatial pattern of galaxies. Other possible applications include analysis of initiation points of cyclones, and locations of meteorite impacts, on the Earth's surface.
    Original languageEnglish
    QualificationMasters
    Awarding Institution
    • The University of Western Australia
    Supervisors/Advisors
    • Baddeley, Adrian John, Supervisor
    • Nair, Gopalan, Supervisor
    • Milne, Robin, Supervisor
    Award date30 Jan 2018
    DOIs
    Publication statusUnpublished - 2018

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    Cite this

    Lawrence, Thomas Joseph. / Point Pattern Analysis on a Sphere. 2018.
    @phdthesis{64472ca5a21f42d0a128f20300f6d90f,
    title = "Point Pattern Analysis on a Sphere",
    abstract = "This thesis develops statistical methodology for analysing spatial patterns of points on a sphere. The main results include relevant theory, methods for estimating point process intensity and summary functions such as Ripley's K function, methods for plotting these estimates which have useful properties, and models on the sphere such as the analogue of the Neyman­-Scott cluster process. These methods are implemented in code in a software package, and which have been used to analyse the spatial pattern of galaxies. Other possible applications include analysis of initiation points of cyclones, and locations of meteorite impacts, on the Earth's surface.",
    keywords = "Nearest-neighbour distance , Point process on sphere, Spherical data, Simulation envelopes, Thomas process, Empty space function, Pair correlation function , Ripley's K function",
    author = "Lawrence, {Thomas Joseph}",
    year = "2018",
    doi = "10.4225/23/5a85314e9cf84",
    language = "English",
    school = "The University of Western Australia",

    }

    Lawrence, TJ 2018, 'Point Pattern Analysis on a Sphere', Masters, The University of Western Australia. https://doi.org/10.4225/23/5a85314e9cf84

    Point Pattern Analysis on a Sphere. / Lawrence, Thomas Joseph.

    2018.

    Research output: ThesisMaster's Thesis

    TY - THES

    T1 - Point Pattern Analysis on a Sphere

    AU - Lawrence, Thomas Joseph

    PY - 2018

    Y1 - 2018

    N2 - This thesis develops statistical methodology for analysing spatial patterns of points on a sphere. The main results include relevant theory, methods for estimating point process intensity and summary functions such as Ripley's K function, methods for plotting these estimates which have useful properties, and models on the sphere such as the analogue of the Neyman­-Scott cluster process. These methods are implemented in code in a software package, and which have been used to analyse the spatial pattern of galaxies. Other possible applications include analysis of initiation points of cyclones, and locations of meteorite impacts, on the Earth's surface.

    AB - This thesis develops statistical methodology for analysing spatial patterns of points on a sphere. The main results include relevant theory, methods for estimating point process intensity and summary functions such as Ripley's K function, methods for plotting these estimates which have useful properties, and models on the sphere such as the analogue of the Neyman­-Scott cluster process. These methods are implemented in code in a software package, and which have been used to analyse the spatial pattern of galaxies. Other possible applications include analysis of initiation points of cyclones, and locations of meteorite impacts, on the Earth's surface.

    KW - Nearest-neighbour distance

    KW - Point process on sphere

    KW - Spherical data

    KW - Simulation envelopes

    KW - Thomas process

    KW - Empty space function

    KW - Pair correlation function

    KW - Ripley's K function

    U2 - 10.4225/23/5a85314e9cf84

    DO - 10.4225/23/5a85314e9cf84

    M3 - Master's Thesis

    ER -